滝壺 - Jisho.org has 滝壺 in the title, but 滝壷 in the entry itself. The kanji composition on the right shows 壺.
壺 - Jisho.org shows 壺 in both the title and the entry.
Are those two kanji equivalent?
Yah, 壺 is kyujitai and 壷 is shinjitai, because it’s got about seventeen fewer strokes - no need to carefully draw that outline any more, it’s just two strokes through a box.
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Not quite:
壺 #kanji - Jisho.org has 12 strokes,
壷 #kanji - Jisho.org has 11 strokes.
But I agree that the latter is much easier to write.
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You are never in a million years gonna stop me from using hyperbole. 
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Same thing with 悪 and 惡
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Yes, 亞 is simplified in 亜 (亚 in China);
So 亞亜亚 are the same; 惡悪恶 are the same, …
and 壺壷壶 are the same.
The crazy thing however is that 壼and 壺 are different ! (can you see the little stroke? Hopefully the latter is not commonly used)
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By the way, this is because the title and kanji composition are just showing you what you typed. The difference in the word entries between 滝壺 and 壺 is because the underlying entry in EDICT happens to order the two ways of writing it in opposite orders:
滝壷; 滝壺; 滝つぼ 【たきつぼ】 (n) plunge basin; waterfall lake; plunge pool; basin under a waterfall
壺[P]; 壷[P]; 壼[iK] 【つぼ[P]; ツボ[P]; つほ[ok]; つふ[ok]】 (n) (1) pot; jar; vase; (etc)
and the way jisho.org chooses to render this makes the first item in the list a lot more prominent.
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Uh, I didn’t know that 亚 was a variant of 亞, that’s fun.
I remember being surprised that 亜 was the simplified version of 亞 when I first saw it because it actually looks busier and more complicated and only saves one stroke (and I actually subjectively find the kyuujitai form more visually pleasing), but when you actually draw it it makes sense: the strokes are more complicated and harder to balance to keep the symmetry.
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